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math.DS2020★ 1 cited
Dynamical spectrum via determinant-free linear algebra
Joseph Horan
We consider a sequence of matrices that are associated to Markov dynamical systems and use determinant-free linear algebra techniques (as well as some algebra and complex analysis)…
math.DS2019
Asymptotics for the second-largest Lyapunov exponent for some Perron-Frobenius operator cocycles
Joseph Horan
Given a discrete-time random dynamical system represented by a cocycle of non-singular measurable maps, we may obtain information on dynamical quantities by studying the cocycle of…
math.DS2016
On irreducibility of Oseledets subspaces
Christopher Bose, Joseph Horan, Anthony Quas
For a cocycle of invertible real -by- matrices, the Multiplicative Ergodic Theorem gives an Oseledets subspace decomposition of ; that is, above each point in t…